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85201110 = 232517233239
BaseRepresentation
bin1010001010000…
…01000011010110
312221022122221200
411011001003112
5133302413420
612242053330
72053124511
oct505010326
9187278850
1085201110
1144103945
122464a246
1314861877
14b45bd78
15772eb90
hex51410d6

85201110 has 96 divisors (see below), whose sum is σ = 236545920. Its totient is φ = 21202944.

The previous prime is 85201097. The next prime is 85201169. The reversal of 85201110 is 1110258.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 356371 + ... + 356609.

It is an arithmetic number, because the mean of its divisors is an integer number (2464020).

Almost surely, 285201110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85201110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118272960).

85201110 is an abundant number, since it is smaller than the sum of its proper divisors (151344810).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85201110 is a wasteful number, since it uses less digits than its factorization.

85201110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 85201110 is about 9230.4447346810. Note that the first 3 decimals coincide. The cubic root of 85201110 is about 440.0294573942.

Adding to 85201110 its reverse (1110258), we get a palindrome (86311368).

The spelling of 85201110 in words is "eighty-five million, two hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 233 239 255 306 466 478 510 699 717 765 1165 1195 1398 1434 1530 2097 2151 2330 2390 3495 3585 3961 4063 4194 4302 6990 7170 7922 8126 10485 10755 11883 12189 19805 20315 20970 21510 23766 24378 35649 36567 39610 40630 55687 59415 60945 71298 73134 111374 118830 121890 167061 178245 182835 278435 334122 356490 365670 501183 556870 835305 946679 1002366 1670610 1893358 2505915 2840037 4733395 5011830 5680074 8520111 9466790 14200185 17040222 28400370 42600555 85201110